4785440 has 48 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1739520.

The previous prime is 4785421. The next prime is 4785463. The reversal of 4785440 is 445874.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4785397 and 4785406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^4785440 is an apocalyptic number.

4785440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4785440 is an abundant number, since it is smaller than the sum of its proper divisors (7552480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4785440 is a wasteful number, since it uses less digits than its factorization.

4785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 4785440 is about 2187.5648561814. The cubic root of 4785440 is about 168.5157994853.

It can be divided in two parts, 4785 and 440, that added together give a palindrome (5225).

The spelling of 4785440 in words is "four million, seven hundred eighty-five thousand, four hundred forty".